Chrysippus’ Indemonstrables and the Semantic Mental Models
Keywords:
Cognitive Science, Reasoning Study, LogicAbstract
According to standard logic, only one of the five indemonstrables proposed by Chrysippus of Soli is actually indemonstrable. The other four schemata are demonstrable in that logic. The question hence is, if four of them are not really indemonstrable, why Chrysippus considered them to be so. López-Astorga showed that, if we ignore standard propositional calculus and assume that a current cognitive theory, the mental logic theory, truly describes human reasoning, it can be explained why Chrysippus thought that all of his indemonstrables were so basic. However, in this paper, I try to argue that the mental logic theory is not the only framework that can account for that. In particular, I hold that another important reasoning theory at present, the mental models theory, can offer an explanation in that regard as well.
Downloads
Published
Issue
Section
License
Authors who publish with this journal agree to the following terms:1. The Author retains copyright in the Work, where the term "Work" shall include all digital objects that may result in subsequent electronic publication or distribution.
2. Upon acceptance of the Work, the author shall grant to the Publisher the right of first publication of the Work.
The Author shall grant to the Publisher a nonexclusive perpetual right and license to publish, archive, and make accessible the Work in whole or in part in all forms of media now or hereafter known under a Creative Commons 3.0 License Attribution-NonCommercial 3.0 Unported CC BY-NC 3.0, or its equivalent, which, for the avoidance of doubt, allows others to copy, distribute, and transmit the Work under the following conditions: (a) Attribution: Other users must attribute the Work in the manner specified by the author as indicated on the journal Web site;(b) Noncommercial: Other users (including Publisher) may not use this Work for commercial purposes;
4. The Author is able to enter into separate, additional contractual arrangements for the nonexclusive distribution of the journal's published version of the Work (e.g., post it to an institutional repository or publish it in a book), as long as there is provided in the document an acknowledgement of its initial publication in this journal.
5. Authors are permitted, and Eidos promotes, to post online the preprint manuscript of the Work in institutional repositories or on their Websites prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (see The Effect of Open Access). Any such posting made before acceptance and publication of the Work is expected be updated upon publication to include a reference to the Eidos's assigned URL to the Article and its final published version in Eidos.
